Renormalization of light-front Hamiltonian field theory

We propose a regularization of light-front field theory which does not make a distinction between transverse and longitudinal coordinates. It consists of a subtraction of low order terms in the Taylor expansion of an amplitude with respect to external momenta, similar to the regularization in the BPHZ scheme, which has some advantages that do not exist in covariant field theory. Instantaneous parts and oher longitudinal singularities are automatically removed irrespective of their explicit form. We argue therefore that these parts are meaningless. The local counterterms are equal to those of covariant field theory. We demonstrate the method in a number of examples, recovering the covariant results.